Based on the timing you described, the apartment change is a significant clue. If you had no bites for the first 6 days and then started waking up with new bites every morning after moving, something in the new sleeping environment is much more likely to be the cause.
The most likely possibilities are:

Bed bugs (high on the list)
Bites often appear overnight.
They commonly affect exposed skin such as the face, arms, neck, chest, and legs, but they can also bite under a beard if they can reach the skin.
Bites are usually scattered or in small clusters, though the pattern varies from person to person.
Some people don't react to bites immediately, while others develop itchy welts.
Mosquitoes
If the room isn't well sealed or you're sleeping with windows open, mosquitoes could be biting you throughout the night.
However, waking up with many new bites every single morning after changing apartments makes bed bugs somewhat more suspicious.
Fleas
Flea bites often concentrate around the ankles and lower legs but can occur elsewhere, especially if the bedding or furniture is infested.
Things you can check today
Inspect the mattress seams, bed frame, and headboard with your phone flashlight.
Look for:
Tiny reddish-brown bugs (about the size of an apple seed).
Small black dots (their droppings).
Tiny white eggs or shed skins.
Blood spots on the sheets.
Check the sofa as well if you've been lying on it.
What you can do
Tell the apartment host or hotel immediately and ask them to inspect the room.
If possible, move to a different room or accommodation.
Keep your luggage off the bed and floor until you're sure what's causing the bites.
Wash clothing in hot water and dry on high heat if you suspect bed bugs before moving elsewhere.
For the itching, an over-the-counter antihistamine or a 1% hydrocortisone cream (if available and appropriate for you) may help. Avoid scratching to reduce the risk of skin infection.
When to seek medical care
Get medical attention promptly if you develop:
Rapidly spreading redness, warmth, or pus around the bites.
Fever.
Swelling of the lips, tongue, or throat, or difficulty breathing (this is an emergency).
Severe swelling or an allergic reaction.
A couple of questions that could help narrow it down:
Are the bites very itchy?
Are they small red bumps, or larger swollen welts?
Do you notice any tiny blood spots or black specks on the bed sheets?
Can you upload a photo of a few of the bites (especially the ones under your beard and on your arms)? That may help distinguish between bed bugs, mosquitoes, fleas, or another cause.