Since demand profile and propensity to consume are not consistent across all sectors, transfers of income from one sector to another can reasonably be expected to have effects on general and particular price levels.
Generally, a downward transfer should have some positive first-order effect on inflation. There's good reason to expect this to be modest compared to the size of the transfer so that the recipients have increased buying power just slightly smaller than the pre-transfer prices would suggest.
(OTOH, given the existence of actively managed monetary policy that targets inflation, that first-order effect should itself largely just change the landscape for fiscal policy, translating into less net effect on inflation than without monetary policy and higher interest rates.)
Depending on implementation universal healthcare might lower the US governments spending on Healthcare. In that context UBI is about implementation not necessarily total wealth transfer. Presumably eliminating subsidized housing for example would result in more efficient resource allocation.
If UBI is set at X, then a social security payment larger than X becomes suspect etc.
Moving money from group A to group B means group A has less money. So housing prices might shift with some price decreases largely offsetting price increases in other areas.
Inflation is a different effect where there is a net price increase.
Social Security for example is not a huge driver of US inflation it's simply moving money from pocket A to pocket B.