Lithium has the downside of being less than 4 volts, so I pair it with a TP4056/7 board (very small, very handy) and the the gadget is happy and I'm happy.
A TP4056/7 will not fix that particular problem. Those chips only charge a cell, they don't convert its voltage to other voltages. Perhaps you're using a DC-DC converter?
I'm not having much luck finding a "2P BMS" (I'm thinking lithium batteries maybe don't play well in parallel
First of all it's
possible to not have a BMS for both series and parallel battery Li-ion arrangements.
Possible, but typically a very bad idea (fires & explosion).
Most of the problems come from charging. During charging you cannot:
* Take any one cell above its max rated voltage (typically 4.2V for most li-ion, but it varies)
* Charge a cell above its max safe charging current (typically expressed in units of 'C', like 1C)
* Continue charging if abnormalities are detected (eg one bank of batteries at too low of voltage, perhaps failed or disconnected)
* Charge outside certain cell temperature ranges.
Batteries in series will have slightly different capacities, so they will charge at different rates if you put the same current through all of them. A BMS in this scenario makes sure that no one cell goes above 4.2V. Ideally the BMS will also balance them, but cheaper ones don't bother and instead stop charging.
Batteries in parallel do not need balancing (they will all be at the same voltage) but you need to be careful about your charging currents. If one or more cells disconnect (keep in mind many 18650s have hidden internal fuses) then you are now charging less cells with the full charging current. This might be above the safe rating. In this scenario
some BMS can monitor cells individually, but most often the charging currents are low enough not to bother (unless you're dealing with a fast charger, but that's a whole other can of worms).
In practice: most small products using 18650s in parallel simply pretend that they are one big battery and charge at a current level that 1 cell could handle (just in case all the others fail). A single TP4056/7 is going to be fine for this most of the time.
BUT
There are other hazards worth mentioning.
Connecting two 18650's in parallel is actually quite complicated:
* You MUST match both cells to be within a few mV of the same voltage before connecting them together. Otherwise the higher charged cell will dump enormous amounts of current into the lower charged cell, possibly violating their ratings. Typically you match cells by slowly discharing them individually with resistors to the same voltage.
* It is generally unsafe to install 18650's in parallel into spring sockets (or similar), because accidentally installing one cell backwards will also lead to insane and dangerous current dumping. The cells may start fires within seconds.
* It is generally frowned upon to connect 18650's by soldering directly to their terminals. In theory it's possible to damage the cells or cause them to enter thermal runaway (catch fire and explode) but I have not seen this yet. They also have a lot of thermal mass so it's very hard to get solder to stick.
* The "correct" way is to spotweld metal strips to the batteries. But that requires special equipment.
I might perhaps suggest a simpler solution. Don't integrate a charger into your device, instead take the 18650s out and individually charge them (thus you won't need a BMS). Rather than putting cells in parallel, put them in series and use an off the shelf buck converter to reduce the voltage (eliminating the challenges of assembling cells into parallel). This also makes adding fuses simpler and easier to understand.
Also please, please use "protected" 18650s. These are slightly longer because they have a little circuit board at one end that provides some extra protection. It's not perfect, but it helps.
This is not an exhaustive safety guide, if you follow all of the above then it's still perfectly possible for people and property to be harmed or killed. Don't trust me, I'm a random guy on the internet, you need to consult multiple sources and make informed decisions. NEVER try and charge a lithium primary cell (like a CR123)
https://www.candlepowerforums.com/forums/smoke-and-fire-hot-cells-and-close-calls.107/