An address is derived from the wallet's public key. There is no danger in others knowing it: it only allows sending funds and viewing history, not spending them.
The one rule to follow every time
Copy the address, never type it by hand. One wrong letter and the funds go nowhere: the network does not check whether an address has an owner.
After pasting, check the first and last four characters. Malware exists that swaps the address in the clipboard for a lookalike, and the only way to spot it is at the ends of the string.
Single-use addresses
Exchanges and exchange services often issue a new address for each payment and keep it alive for a limited time. Sending to an old address from history is the second most common cause of lost payments after picking the wrong network.
What addresses look like on different networks
TRON begins with T, 34 characters. Ethereum, BNB Smart Chain and related networks begin with 0x, 42 characters. Bitcoin begins with 1, 3 or bc1.
The shared look of 0x across several networks is the source of most mistakes: the address looks right while the network is a different one.
Test transfer
With an unfamiliar address it is sensible to send a small amount first and wait for it to arrive. On cheap networks this check costs cents and removes almost all the risk.
The rule is especially worthwhile on a first send to a new service and for any amount you would hate to lose.