From a security perspective - yes, it's perfectly safe. There is nothing someone can do just by seeing your TXID and addresses. This information is publicly available for every transaction ever made.
From a privacy perspective - maybe not. If you are concerned about people linking wallet addresses or bitcoin amounts to your forum identity/username/activities, then don't share.
Open your blockchain.com wallet, click on "Bitcoin" from the sidebar on the left, then click on "Sent" from the menu at the top, and you will see your sent transactions. From there you should be able to find your transaction ID - it's a 64 character long string of numbers and letters from 0-9 and a-f.
If you don't want to share it, then search for it yourself on
https://blockchair.com/ and check the amounts and addresses are correct. If you click on the "Click to see more" option on the right hand side of that page, you'll see a field that is called "Fee per kVB". The fee required at the moment for a fast confirmation is 0.00020000 BTC or higher. Anything lower than that and you will just have to be patient. The lower you are, the more patient you will need to be.