I'm confused whether you want more welfare, or you're trying to ban jobs below a certain "living" wage floor (which are probably mostly occupied by the poorer).
There is a somewhat intermediate of this, proposed by Milton Friedman, called the negative income tax. I can't say I'm sold on the idea but it does solve some of the problems of the local maximums encountered that keep people trapped in the welfare system and from trying to get more lucrative income.
Probably some mixture of better statutory labor protections and more class solidarity (collective bargaining), but generally I don't know. It just boils my blood that Walmart can publish a document explaining to its employees how to apply for government food assistance (to buy food from Walmart itself) and this is business-as-usual in the USA.