If you had an idea of the volume it would help getting reasonable quotations. However, usually that kind of miscellaneous stuff you are mentioning results to something like 1-2 cbm. You could estimate the volume by taking a big card board box, measure its dimensions. Then estimate roughly how many boxes you would need. If you have clearly less than 1 cbm, I believe postal, excess luggage etc services might be feasible (no idea about companies though, sorry). For mailing, just order a tilataxi, mention you have those boxes and they take the stuff to the post office.
Btw, are you going to pack by yourself?
Other reputable removal companies you could contact are
Grundell
http://www.grundell.com/toimipisteet.php
Niemi
https://www.niemi.fi/International_Moves.712.0.html
KTK
http://www.helsinginktk.fi/mastermovereng.pbs
Does your removal involve overland freight in the US? That could be expensive, in particularly organised from here. If you still get high quotes, you could try to cut costs by organising the US freight by yourself. Ask the Finnish company to take the freight to the nearest US airport, then ask a quote from a US company to deliver it further. Just ensure that your freight terms cover all the points here and it is clear who is responsible for which stage. I did this once, and managed to cut expenses by USD 1000.