You're darn right it's cold outside, got down to 41 last night. Anyway, here's my take on your question. And I'm providing you with all this BS so you can have some idea as to what needs to be done and time your ventures outside accordingly. Sorry if it's overkill, but I have a lot of time on my hands right now.
First, you're right, lead acid batteries aren't rocket science, they don't fly on rockets. And what they fly now is certainly beyond me. However, here on earth we all have to deal with lead acid. Charging is entirely different and more complicated. So here's my advice.
If you have an "old" charger, they consist of a transformer and a diode bridge which charges the battery in a series of pulses with no more control that the transformer setup. The charger I bought in the '60s recently died and I got a "modern" charger (cheap, Chinese) which charges in 3 steps: 1. Current limited to pack as much amp-hrs in as possible quickly, 2. Voltage limited, to not overheat the battery, and finally 3. a lower voltage to provide a float charge to maintain the battery. And it takes a long time to charge a lead acid battery, so step 3 is reached in about 24 hrs. Actually, I think that even the float charger I got from Harbour Freight has those capabilities.
So, lets assume you have a recent "modern" charger. So anywhere in the wires leading to the battery you can connect the charger appropriately. Wherever is easiest: at the battery, at the battery switch, at the motor leads, even at the instrument panel. I connect Journey On's battery charger at the batteries, since that's the shortest route. For the battery switch, motor leads, etc. the battery switch has to be on, right? Every day or so check the battery voltage to make sure it's not out of whack, and also remember to check the battery water. Overvoltage will eventually boil the batteries dry but that's a matter of days, but lack of water is guaranteed to kill a battery quickly. When you see how everything is going, you'll know how long between checks. Should be on the order of a week or so, and then maybe forever. Pray for warm weather whilst you're doing the setup, but just remember Feb should be colder than Jan, so learn early.
I installed a 3 bank battery charger in Journey On so each bank (2 ea) is wired to a different charger output. But I can't see any problems with charging 2 batteries in parallel AS LONG AS the battery charger can handle the current.
So find out if you have a decent 3 stage charger, hook it on and check it for a while then let it rip.
Boris