Since Tallinn is not a village, you can choose any hotel, you just have to ask a question. Namely, ask about the availability of a "family number." As a rule, this is 2-3 rooms. For reasons of economy, it is reasonable to rent an apartment, for example in the Old Town

From the budget hotel Dzingel (apartment and family room)

More expensive - hotel Tahetorni

Old House Apartment in the Old Town at an affordable price.

Also, there are suitable rooms in the hotels Viru and Olumpia (+372 669 0690)

And after the hotel Rocca-al-Mare