Lets say I have 100 Addresses with 0.001btc and consolidate all in one Address to 1 BTC.
Try to stop thinking about addresses and think about UTXOs instead. It makes absolutely no difference if you have 100 UTXOs on one address, or the same 100 UTXOs spread over 100 addresses. All else being equal, then the fees to spend these UTXOs will be identical.
Will my fees not rise after some transactions, because i create new UTXOs every time? Am I thinking about this wrong?
Every transaction you create will use up one or more UTXOs as inputs to cover the value of the coins you want to spend, and the fee you need to pay for the transaction. Your transaction will create a minimum of one output UTXO to whichever address you want to send coins to. If there are any coins leftover between the sum of your input(s) and the sum of your output(s) and fees, then they will be returned to you in an additional output UTXO in what is known as "change".
I mean: I have 1btc on my Address A.
Now i spend 0.5btc in 10 Txs to other Addresses.
Will my Address A not be full of 10 smaller UTXOs after multiple spendings thus creating the same problem I had before?
Or is my 1btc now just 1 UTXO with 0.5BTC left?
This depends on the UTXOs.
Let's say you have a single UTXO containing 1 BTC. You send 0.5 BTC to someone else, then the remaining 0.5 BTC will be returned to you in a single UTXO.
Let's say you have 10 UTXOs, all containing 0.1 BTC. You send 0.5 BTC to someone else, by using up 5 of the UTXOs. Your remaining 0.5 BTC will not have moved, and will still be made up of 5 UTXOs of 0.1 BTC each.
Let's say you have 10 UTXOs, all containing 0.1 BTC. You send 0.5 BTC to someone else, but this time you use up all 10 of your UTXOs. The 0.5 BTC extra will be returned to you as a single change UTXO of 0.5 BTC.
Let's say you have 10 UTXOs, all containing 0.1 BTC. You send 0.5 BTC to someone else, but this time you use up 8 of your UTXOs. The 0.3 BTC extra will be returned to you as a single change UTXO of 0.3 BTC, and you will still have 2 more UTXOs of 0.1 BTC each which have not moved.
There are endless possibilities here. You can choose to spend the minimum required to cover your transaction, or include extra UTXOs to "consolidate" them in to a single change UTXO to save on fees further down the line.
Here is a good page regarding outputs which I suggest you have a read of:
https://learnmeabitcoin.com/beginners/outputs. That entire site has a lot of good beginner-friendly guides.