The EUIPO charges application fees. The fees depend in particular on the number of classes of goods and services, respectively. However, the EU runs from time to time certain schemes for Small and Medium Sized Enterprises. This means that, under certain conditions, companies can receive a fix amount of money in support of an application or other useful services in the context of trademark protection. The amount varies, depending, amongst other things, on the country where the company sits.
As to lawyer’s fees, there are no mandatory minimum fees.