I have a Moulton Jubilee that also splits into two parts.

Its easy to do split but the two parts are really big, the only solution to make it smaller is to remove the wheels but when doing so, the derailleur is very exposed, it is better to dismount it from the frame.

For the tires, most Moulton (excepted the XTB) use road brake calipers that limit the tire width to about 28mm for older calipers, 30-32mm for some current ones (I have eebrake calipers on my Moulton Speed and they accept the Continental Contact Urban 32x406). Moulton use only two wheel sizes, 17" ETRTO369 with only one type of tire available and 20" ETRTO406.

For me as a travel folding bike with easy, quick fold + off road riding possibilities + several possibilities to carry baggage, the best, most versatile solution is the Birdy (full suspension; 50mm wide tires, rear folding rack for rear pannier that has no impact on the folding size, front Brompton block, front low riders)