I would seriously avoid the Alkaline battery route for recharging. Even with chargers specifically designed to recharge alkaline batteries, these batteries are very prone to leaking and will cost you a lot more in the long run, either on replacing the Alkaline batteries or the dealing with leakage. Also, don't attempt to recharge alkaline batteries in an Ni-MH charger, as these will most likely leak in the charger, ruining the charger and causing a mess if the leakage spills out.
The best rechargeable batteries from my experience are the precharged Ni-MHs. I know these batteries may sound daft, as some people will falsely assume these batteries are more expensive because they are sold with a full charge. What makes these batteries special is that they don't self-discharge like regular Ni-MH's do, so while their capacity is lower, they will outlast regular Ni-MHs and even Alkaline batteries in most battery operated items per charge.
Unless you need the batteries charged in a hurry, I suggest going for a basic overnight slow Ni-MH charger. Avoid those 1 hour, 30 minute, etc. chargers, as they usually cook the batteries or don't fully charge them. The 2 to 5 hour chargers are usually OK, but sometimes cut off the charge cycle early, i.e. not filling the batteries to capacity. An overnight charger with a <200ma rating will usually take 10 to 15 hours and will generally give the batteries a full charge. These chargers cost very little, e.g. <â‚¬10. Just remember to set a reminder (e.g. on your phone) to switch it off the following day.