Many times I have stayed in hotels without safes. In the past year I can quickly add up over 80 nights in hotels without safes. my feeling is that I don't like to put everything I can into a safe even if there is one there.
But not having a safe seems to becoming a rarity in major centres in reasonable hotels.
Some random ramblings..Once I forgot the code to my safe. The housekeeping came in 10 mins and opened it in about 30 secs. There was a code that all the house keeping had that worked on every safe in that hotel. I never locked that safe after that, and never lost anything either - not even one fen! and I was there for quite an extended period. Another time in another place they moved a panel and used a key. All done in minutes. Has destroyed my faith in safes but at least they stop oppotunistic thieves.
But if it's not available at all, I tend to find places to hide things, keep cash amount low only withdrawing when needed. Jewellery, wear what you can and don't take too much. You might want to buy some on your trip:-)
I do not like to put things in reception, gives me a bad feeling. I never ever carry my passport, in case I lose it, get pick pocketed, etc. Safer to leave it in the one place, that way at you least know where it disappeared from. I only take my passport when I need it for work or I am travelling to a new location eg check in at hotel, airport, immigration etc.
Anyway thats me. I am probably not the most careful traveller on the planet.