Continental eurosport & other stations on fta

You would need to add extra lnbs to your dish for Astra 1 and/or Hotbird.

What size dish do you have?

Eurosport Deutsch is to be found at the 19.2⁰ east position; it shouldn’t be a problem to fit a 2nd lnb to receive from these satellites & will help if your receiver can handle the switching involved.

That's about it, yes. Bear in mind that the dish acts as a mirror, so to receive the Astra 1 sats, which are further west & higher in the sky than Astra 2 (UK channels), you will need to position your lnb further east & lower than the one for Astra 2.
If you have access to a decent meter or can get your tv & receiver within view of the dish, you can find the best position by holding the unattached lnb in front of the dish & watching the strength/quality readings.

The brackets are widely available; a google for 'multi lnb bracket' will throw up plenty of options or try that well known auction site ...

Pic here of a 2nd lnb fitted to a Sky type dish; maybe not from the best angle but will give an idea of what's involved.

Oh, & you also need a DiSEqC switch to combine both lnb feeds into 1. You said your receiver was integral to the tv; find out if it supports DiSEqC or post the make & model here.