If you are claiming some/all of your journeys, you may be able to do this at a weekly rate using contactless (with a cap) instead of a slightly cheaper monthly fare. May not need to pay in advance for a travelcard, unless you can claim the whole of the travelcard cost, in which case that may be simpler.
Contactless history can be seen via TFL account (if you register the card), but can also print a history for unregistered cards on TFL website.
If you don’t have a suitable contactless card, or don’t want to use an existing one, you can use a mobile phone contactless payment app linked to an existing card, or buy a reloadable prepaid contactless debit card (need to keep enough balance on the latter).