Hi, I might be able to contribute something useful to this thread. I'm going to add this disclaimer: I may come off as bitter, I'm not, I'm just being honest about my experience.
I am a former E6 Nuclear Electronics Technician (reactor operator in the nuclear power program). I served 2004-2010.
I'm not going to tell you what to do, but know that you sacrifice a lot by going into the Navy - especially the nuclear power program. MANY people wash out of this in the schooling phase and even more after being assigned to a ship or submarine. I can promise you 2 things about becoming a nuke - many times during your enlistment you will regret your choice in joining, but you will certainly come out of it changed.
I'll write a short history, as I feel I have taken every advantage available and come out as successful as I could have and you may be able to use this in deciding.
I joined the Navy in 2004. I did not know what I wanted to do with my life and I did not want to waste my time in college without a path in mind. I did pretty well in high school (A's and B's) without trying whatsoever, in all honesty I rarely went to class and basically just made educated guesses on tests - completely waste of everyone's time. I decided to join because the military would provide the GI Bill to pay for college and give me time to figure out what I wanted to do. Plus this was a few years after after 9/11 and near the beginning of the Iraq/Afghanistan War **waves 'murican flag**.
Boot camp is the biggest waste of time ever. You will wonder why these people make you do pointless things - realize that boot camp is about gaining control over you (anyone who does not agree with this (1) has not served in the military or (2) is ignorant to this [many people are, including myself until several years in, when everything clicked in a sort of epiphany]), not about getting anyone in shape (most people actually put on fat during Navy boot camp). Going to Great Lakes, IL November-January and being from Florida was not fun (smart choice on your part for picking summer).
After boot camp you are sent to your assigned "A" school. In boot camp, they may ask which rate you prefer (electronics technician, electrician, or machinist's mate). Do not be a machinist's mate. I swear to god, act like the biggest nerd ever when you meet the people who assign you. Many electronics technicians have a superiority complex, as it is the hardest rating to get and you will directly operate nuclear reactors rather than the electrical distribution system (electrician) or valves/pumps (machinist's mate). I wouldn't mind being an electrician or ET, but whatever you do PUT MM AS YOUR LAST CHOICE!!! MM's get to hang out in 140F engine rooms. Dipping and working out are basically prereqs for MM's lol. ET's get to sit in a chair in front of the Reactor Plant Control Panel (in the air conditioning). "A" school is harder for ET's, a little easier for electricians (EM's), and way easier for MM's (but still hard, to be honest). In "A" school for the first 6 months you will learn about electricity/circuits. Just be prepared to study a lot. This will be the most enjoyable time in your naval career, make friends, go out and do things, enjoy it, but study as much as you need to to stay at the top of your class (you will have mandatory study hours, based on how well you do on your tests). **************BIGGEST TIP OF NAVAL NUCLEAR POWER PROGRAM INCOMING************* When you sign up, regardless of what you sign, you are NOT required to do 6 years until you sign a new contract at the end of your 6 month "A" school. DO NOT SIGN THIS!!!!!!!!!!!!! Everyone else will sign without knowing what they are doing (I did). By signing this form you are agreeing to the 6 years and you will be promoted to E4. Trust me when I say this, you will make E4 your first time up, I promise. Now if you had the courage to say that you would not sign, you will be E3 (until you make E4 a couple months later automatically anyway), but you will only have ~5 years in the Navy instead of 6. Later on down the road after everyone signs the forms, everyone will find out this information and will be super pissed (trust me the 1 year less is huge).
Next is nuclear power school. 6 months of learning reactor theory, thermodynamics, chemistry/radiological controls and more... I found this to be pretty interesting actually and this is when I started excelling in school (nearly getting 4.0 on a couple tests - this might not seem hard now, but trust me its a huge deal). BTW, all tests in the nuclear power program are not multiple choice. You will have to regurgitate huge amounts of knowledge and picking a correct word in your essay answer, that is not the word they wanted, means you got the question wrong. At the end of this school you will have a choice between going to prototype (you get to actually operate reactors now!!) in south carolina (where your first 2 schools were) or in new york. I chose s carolina. During A school and Power school you have to live on base in what are basically dorm rooms (A school you have a room mate and 2 suite mates in the adjoining room, power school you get your own room with a suite mate in the adjoining room and share a bathroom), but during prototype you get a housing allowance and can live off base (awesome).
To be continued.... this is way longer than I intended already.