First I just want to say
"Thank you" for your service to our country.
Here is a guide for soldiers headed to BCT:
You can plan on doing a lot of running and calisthenic exercises in Basic as well as a lot of body-weight lifting (pullups, pushups, climbing, etc.) The other thing you can plan on doing a lot of is "humping" (no not that kind
) heavy loads of gear on extended marches.
So both upper and lower body strength and endurance are of utmost importance as well as cardiovascular endurance. Flexibility is very important too.
Some plyo stuff and speed work is probably a good idea too.
Sounds like you've got a lot of stuff at your disposal for everything. The pool, bike, and treadmill are excellent for CV stuff...but you also are gonna be doing a lot of running outdoors so acclimate your body to that if you can.
A full-body workout alternating between strength and endurance phases sounds like it might be a good way to start out.
With what you have available weight-wise maybe center it around:
Presses
Pullups
Squats
Dips
Rows
Deadlifts
Abs
Familiarize yourself with US Army PFT standards and be sure that you are absolutely smoking those before you report. Since you've got about a year, maybe start yourself on a weight and cardio routine and then "test" yourself every month against PFT standards.
Assuming you're male from your stats, your age group needs a
minimum of 35 pushups, 47 situps, and run 2 miles in 16:36. To max it (should be your goal before you report for training) you wanna be able to crank out 71+ pushups, 78+ situps, and complete the 2 miles in 13:00.
Also, check with your recruiter as they may have some groups to prepare you physically for Basic...I know the Marines do that.
Here is another good article about the physical fitness of recruits:
Good on ya' and thanks again!