Need a bit of travel advice for Tallinn

Hi all! I'm going to be in Estonia for a conference, landing in Tallinn on June 24th and leaving on July 2nd. The conference is outside of Tallinn and my accommodation there is sorted. For the 2 days on either side of the conference I was about to book a hotel, and then I realised I don't really want to stay at the airport or somewhere like that. I'd rather stay in town where I'm near all the nice stuff to do and can walk from the hotel rather than having to take a taxi into town every day.

Can you please give me an idea of the things to see in Tallinn? And with that in mind, can you suggest a nice hotel that is well placed for this? Ideally I'd like to spend in the region of 100 EUR a night (or less:)

Thank you!

Update: after a bit of ummm-ing and aaaah-ing I've booked at Swissotel, seemed to have the best guest ratings on hotels.com for a reasonable rate. Looking forward to seeing Estonia for the first time!