there are 4 tabs to choose from, click public and public offers pop up.
there would be a small check box near the top of all the trades that says tradable cards only, if left checked; this means that you will only see trades that you can trade with the cards you have now.
getting and giving are self explanatory
getting is what you are recieving and giving is what youre trading. just be careful you arent giving away your good stuff.
PSA: there are ppl who for example post trades for coins and non-obtainable items, the problem is that there are coins and items that look similar to the things they are asking for.
this happened to me once, I saw a post giving away a tapu lele for a blue lucario coin, I traded 3x BS packs for that blue coin but when trying to trade it, the coins were different "color", basically I got swindled.