It might be useful to divide the 11th century into the first half of the century and the later one, since especially the latter, characterized by the big events like the Investiture Contest and the (First) Crusade, can be regarded as a prelude to the coming 'long' 12th century (Cf. Cotts 2013)

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The order of the following recommended booklist is arranged from the easiest (I hope.....) to some intermediate ones, not the most strongly recommend ones, just in case:

• Moore, Robert I. The First European Revolution, c. 970-1215. Oxford: Wiley Blackwell, 2000: Not strictly limited to the 11th century, but useful to get the overview of the society and its course of change in the 11th and 12th century. Robert Bartlett's the Making of Europe (1994) looks at the 11th century Europe from a similar point of view, but I suppose Moore is easier to read through.
• Cushing, Kathleen G. Reform and the Papacy in the Eleventh Century: Spirituality and Social Change. Manchester: Manchester UP, 2005: is a relatively easy read but one of the few Anglophone books that reflect the recent trend of research on the medieval Papacy as well as the Church Reform movement, mainly focusing on the later 11th century, though it also has a brief chapter on the 'peace of the God' movement.
• (Added): Bull, Marcus (ed.). France in the Central Middle Ages. Oxford: OUP, 2002. Short Oxford History of France: is a relatively readable, accessible and affordable book in English that offers overview of France during the early Capetians, though not so much in detail. In addition by the chapters of 'Political Culture (by Geoffrey Koziol)' and 'the Church (by Marcus Bull)', the chapter on 'the South (Midi) (by Linda Paterson)' might be interesting since it is not so easy to find easy-read Anglophone literature on southern France prior to Eleanor of Aquitaine.
• Fichtenau, Heinrich. Living in the Tenth Century: Mentalities and Social Orders, trans. Patrick Geary. Chicago: U of Chicago P, 1993: is a bit dated, but it conveniently provides the overview of the worldview of post-Carolingian Europe. Translated from German.
• (12th century) Cotts, John D. Europe's Long Twelfth Century: Order, Anxiety and Adaptation, 1095-1229. Basingstoke: Palgrave, 2013: Predominantly concentrates on the period after the call of the First Crusade by Urban II., but covers the wide range of geography in emerging Latin Christendom in ca. 1100. I prefer this book over other books on the '12th century Renaissance' since at least this book does not forget the northern and eastern peripheral parts of Europe.
• Wickham, Chris. Medieval Europe. New Haven: Yale UP, 2016: is probably the most generally recommended book for the whole Middle Ages and arranged by the topic, such as 'Reshaping Western Europe, 1000-1150' (Chap. 6, pp. 99-120) and 'The long economic boom, 950-1300' (Chap.5, pp. 121-40), but if you find his Inheritance of Rome is too heavy for you, I cannot recommend it too strongly.

(Edited:) corrects many typos, and adds the link to the official sites of the books in their publisher.