That GT3B FlySky radio set is great. Should last you a long time. It is a bit "fancy" for a new guy, but you'll have fun figuring out all the adjustments.
Alternatively you could get the FlySky GT2. Only $20, does the same thing, just no screen, no numerous adjustments or multi-car memory. You can bind more than one car to the GT2, just so ya know.

A couple examples of chargers:
Venom Pro Charger 3 7Amp RC LiPO and NiMH Battery Balance AC/DC Powere | Atomik RC
Thunder AC680 Professional Dual-Power LiPo Balance Charger Discharger w AC Adapter for 1-6 Lipo 1-15 Nimh + USB to PC Software

I have the Thunder AC680. Does 6Amps at 80Watts. The Venom does 7Amps at 100W.

How do you know what to charge your battery at? If you have a 3600mah Lipo, you'd set up the charger for LIPO (don't set it for NiMh or NiCd, you'll have a fire!) and set the charge rate for 3.6Amps. If you had a 5000mah pack, you'd set it for 5Amps. See how that works? Never leave your Lipo fully charged unless you're going to use it within a 12hr period. Doing so will shorten its useful life and its capacity. Always use the Storage Charge feature of your charger. This charges or discharges your pack to ~3.80V (like the way it came shipped). This is the battery's "resting voltage" or quiescent point, where the chemistry "likes to be". Storage charging at the end of your day will keep the batteries healthy for a longer useful life. Gens Ace and SMC Lipos are the ones I use. Good prices, good packs. Gens you have to install your own connector, but the SMCs you can get with either Traxxas or Deans connectors installed for you.