I was going to get the Eneloop also but after some research I went for the Ladda, many people think they are actually the same battery. I'm still thinking of grabbing some to test out anyway.
I'm with you on the charger, I went with one that charges batteries individually and has a few other advanced options: https://www.amazon.com/dp/B000RSOV50/ref=cm_sw_r_cp_apa_i_ZQ3eDbW9FTYN1
I use Eneloops. I have both the old Sanyo and the new Panasonic onea and both seem to perform identically. As for a charger, I can't recommend the La Crosse BC-700 enough. I used to use the cheap wall bricks (like the Amazon Basics one) but they tended to stop charging after a year or two. Also, they don't intelligently charge so they could be reducing the life of your batteries (see the "edit" below.) The La Crosse has stayed with me for 3 years and it has so many options that help improve the life of each battery. Most cheap chargers ate around $10-15 USD and the La Crosse is typically on sale for $35 USD. https://www.amazon.com/dp/B000RSOV50/ref=cm_sw_r_other_apa_Vq8Xzb7J1J3G8
Edit: One of the big advantages of this charger is that it reads each individual battery and only charges it as long as it needs. Most "dumb" chargers (especially ones that charge in pairs) uses a set time charge and can reduce the life of your batteries.
Edit 2: there is some evidence that the Amazon Basics rechargeable batteries are rebranded Eneloops. So for those who want to save a couple of bucks, you could get those instead of Eneloops and you'll have comparable, if not identical, batteries.
The Energizer battery packs have 1200mAh capacity each. Eneloop Pros have 2550mAh capacity per battery (so I think it would be 5100mAh total 4.25x the capacity of the packs. Does anyone know if that's how two batteries drain?). I have been buying eneloops for close to 10 years. I have only had two batteries wear out. I highly highly recommend the starter pack for anyone looking to get started with them. Be aware, some knockoffs exist!
Starter kit 10AA, 4AAA & Charger (not PRO) $41.99
Eneloop PRO 4AA w/Charger $26.30
If you get really serious about your rechargeable batteries, I highly recommend this charger as an upgrade.